When Joshua Is 6 he reads 6 books, when he is 7 he reads 12 books, when he turns 8, he reads 24 books, when he turns 9 he reads 48 books, when Joshua turns 10 he reads 96 books
6+12+24+48+96=186
The answer is C
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Answer:
Joshua read 186 books form 6 to 10 years of age.
Step-by-step explanation:
Joshua reads 6 books at the age of 6.
He doubled the number of books he read the previous years.
Now the sequence will be a geometric sequence as
6, 12, 24, ......
We have to calculate the number of books he read from 6 years to 10 years of his age.
Since sum of n terms of a geometric sequence is given by
[tex]S_{n}=\frac{a(r^{n}-1 )}{r-1}[/tex]
where a = first term
r = common ratio
n = number of terms
[tex]S_{5}=\frac{6(2^{5}-1 )}{2-1}[/tex]
= [tex]\frac{6(32-1)}{1}[/tex]
= 6×31
= 186 books
Therefore Joshua read 186 books form 6 to 10 years of age.
